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Geometry of Supersymmetric Gauge Theories

Including an Introduction to BRS Differential Algebras and Anomalies

  • Textbook
  • © 1988

Overview

Authors:
  1. François Gieres
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Part of the book series: Lecture Notes in Physics (LNP, volume 302)

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Table of contents (5 chapters)

  1. Front Matter

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  2. The canonical geometric structure of rigid superspace and SUSY transformations

    Pages 1-45

  3. The general structure of SYM-theories

    Pages 46-78

  4. Classical SYM-theories in the gauge real representation

    Pages 79-85

  5. BRS differential algebras in SYM-theories

    Pages 86-129

  6. Geometry of extended supersymmetry

    Pages 130-137

  7. Back Matter

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Keywords

About this book

This monograph gives a detailed and pedagogical account of the geometry of rigid superspace and supersymmetric Yang-Mills theories. While the core of the text is concerned with the classical theory, the quantization and anomaly problem are briefly discussed following a comprehensive introduction to BRS differential algebras and their field theoretical applications. Among the treated topics are invariant forms and vector fields on superspace, the matrix-representation of the super-Poincaré group, invariant connections on reductive homogeneous spaces and the supermetric approach. Various aspects of the subject are discussed for the first time in textbook and are consistently presented in a unified geometric formalism. Requiring essentially no background on supersymmetry and only a basic knowledge of differential geometry, this text will serve as a mathematically lucid introduction to supersymmetric gauge theories.

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